Affiliations: [a] Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan | [b] Department of Electronic Engineering, University of Engineering and Technology Taxila, Sub Campus Chakwal, Pakistan
Correspondence:
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Corresponding author. Muhammad Shabir, Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. E-mail: [email protected].
Abstract: In this paper, we generalize the concept of (∈ , ∈ ∨ qk)-fuzzy hyperideals of a semihypergroup H and we define (∈ γ, ∈ γ ∨ qδ)-fuzzy subsemihypergroup, (∈ γ, ∈ γ ∨ qδ)-fuzzy left (right) hyperideal, (∈ γ, ∈ γ ∨ qδ)-fuzzy hyperideal, (∈ γ, ∈ γ ∨ qδ)-fuzzy interior hyperideal, (∈ γ, ∈ γ ∨ qδ)-fuzzy quasi-hyperideal, (∈ γ, ∈ γ ∨ qδ)-fuzzy bi-hyperideal and (∈ γ, ∈ γ ∨ qδ)-fuzzy generalized bi-hyperideal of a semihypergroup H and study some basic properties. Also we characterize regular and intra-regular semihypergroups using these notions.
